A criterion for the existence of the unique invariant torus of a linear extension of dynamical systems

• Date: 2007
• Main Authors: Boichuk, О. A., Бойчук, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3288
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Under the assumption that a linear homogeneous system defined on the direct product of a torus and the Euclidean space is exponentially dichotomous on semiaxes, we obtain a necessary and sufficient condition for the existence of the unique invariant torus of the corresponding inhomogeneous linear sy...